簡約 ((-8.1)^2)/((5.9-1)^2)

解

簡約

\frac{( - 8.1 ) ^{2}}{( 5.9 - 1 ) ^{2}}

2.73261 \dots

解答ステップ

\frac{( - 8.1 ) ^{2}}{( 5.9 - 1 ) ^{2}}

指数の規則を適用する:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{( - 8.1 ) ^{2}}{( 5.9 - 1 ) ^{2}} = (\frac{- 8.1}{5.9 - 1})^{2}

= (\frac{- 8.1}{5.9 - 1})^{2}

\frac{- 8.1}{5.9 - 1} = - \frac{8.1}{4.9}

= (- \frac{8.1}{4.9})^{2}

指数の規則を適用する:

n

が偶数であれば

(- a)^{n} = a^{n}

(- \frac{8.1}{4.9})^{2} = (\frac{8.1}{4.9})^{2}

= (\frac{8.1}{4.9})^{2}

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{8. 1 ^{2}}{4. 9 ^{2}}

8. 1^{2} = 65.61

= \frac{65.61}{4. 9 ^{2}}

4. 9^{2} = 24.01

= \frac{65.61}{24.01}

数を割る:

\frac{65.61}{24.01} = 2.73261 \dots

= 2.73261 \dots